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Finding the Fourth Proportional to 649,305.86, 896,024.89 and 362,828.30

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Solution

The fourth proportional to 649,305.86, 896,024.89 and 362,828.30 is: 500,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,305.86 : 896,024.89 = 362,828.30 : x
  2. Step 2: Convert to fraction form
    649,305.86/896,024.89 = 362,828.30/x
  3. Step 3: Cross multiply
    649,305.86x = 896,024.89 × 362,828.30
  4. Step 4: Simplify right side
    649,305.86x = 325,103,187,596.39
  5. Step 5: Solve for x
    x = 325,103,187,596.39/649,305.86
  6. Step 6: Final answer
    x = 500,693.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.